ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

A quasi-interpolation operator yielding fully computable error bounds

Theophile Chaumont-Frelet and Martin Vohralík
ESAIM: Mathematical Modelling and Numerical Analysis 60 (1) 1 (2026)
https://doi.org/10.1051/m2an/2025091

On inf-sup stability and optimal convergence of the quasi-reversibility method for unique continuation subject to Poisson’s equation

Erik Burman and Mingfei Lu
Mathematics of Computation (2026)
https://doi.org/10.1090/mcom/4162

A stabilization-free HDG for linear elasticity with strongly symmetric stress on Alfeld splits

Lina Zhao
Mathematical Models and Methods in Applied Sciences 36 (01) 205 (2026)
https://doi.org/10.1142/S0218202526500053

Ruchi Guo and Xianghai Zhou
(2026)
https://doi.org/10.2139/ssrn.6631877

H(curl)-based approximation of the Stokes problem with weakly enforced no-slip boundary conditions

Wietse M. Boon, Wouter Tonnon and Enrico Zampa
Computer Methods in Applied Mechanics and Engineering 448 118484 (2026)
https://doi.org/10.1016/j.cma.2025.118484

Asymptotic compatibility of parametrized optimal design problems

Tadele Mengesha, Abner J. Salgado and Joshua M. Siktar
ESAIM: Mathematical Modelling and Numerical Analysis 59 (6) 3069 (2025)
https://doi.org/10.1051/m2an/2025084

Parametric finite-element discretization of the surface Stokes equations: inf-sup stability and discretization error analysis

Hanne Hardering and Simon Praetorius
IMA Journal of Numerical Analysis 45 (5) 2948 (2025)
https://doi.org/10.1093/imanum/drae080

On convergence of the $ C^0 $ interior penalty method for $ m $th Laplace equation

Xianhao Zeng
Communications on Analysis and Computation 6 94 (2025)
https://doi.org/10.3934/cac.2025021

A primal-dual adaptive finite element method for total variation minimization

Martin Alkämper, Stephan Hilb and Andreas Langer
Advances in Computational Mathematics 51 (5) (2025)
https://doi.org/10.1007/s10444-025-10254-8

The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method

Erik Burman, Guillaume Delay and Alexandre Ern
Numerische Mathematik 157 (4) 1259 (2025)
https://doi.org/10.1007/s00211-025-01479-2

Finite element approximation to the non-stationary quasi-geostrophic equation

Dohyun Kim, Amiya Kumar Pani and Eun-Jae Park
ESAIM: Mathematical Modelling and Numerical Analysis 59 (4) 1973 (2025)
https://doi.org/10.1051/m2an/2025040

Mehdi Elasmi, Felix Krumbiegel and Roland Maier
(2025)
https://doi.org/10.2139/ssrn.5366225

Galerkin neural network-POD for acoustic and electromagnetic wave propagation in parametric domains

Philipp Weder, Mariella Kast, Fernando Henríquez and Jan S. Hesthaven
Advances in Computational Mathematics 51 (4) (2025)
https://doi.org/10.1007/s10444-025-10245-9

The VEM for time-harmonic Maxwell equations in inhomogeneous media with Lipschitz interface

Chunyu Chen, Ruchi Guo and Huayi Wei
Mathematical Models and Methods in Applied Sciences 35 (08) 1717 (2025)
https://doi.org/10.1142/S0218202525500289

A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell’s equations under minimal regularity assumptions

T. Chaumont-Frelet and A. Ern
Mathematics of Computation 95 (360) 1573 (2025)
https://doi.org/10.1090/mcom/4091

Martin W. Licht
154 124 (2025)
https://doi.org/10.1007/978-3-031-86169-7_13

Spectral Correctness of the Simplicial Discontinuous Galerkin Approximation of the First-Order Form of Maxwell’s Equations with Discontinuous Coefficients

Alexandre Ern and Jean-Luc Guermond
SIAM Journal on Numerical Analysis 63 (2) 661 (2025)
https://doi.org/10.1137/24M1638331

A Posteriori Error Estimator for Elliptic Interface Problems in a Fictitious Domain Formulation

Najwa Alshehri, Daniele Boffi and Lucia Gastaldi
Journal of Scientific Computing 103 (2) (2025)
https://doi.org/10.1007/s10915-025-02869-2

Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

Lourenço Beirão da Veiga, Kaibo Hu and Lorenzo Mascotto
ESAIM: Mathematical Modelling and Numerical Analysis 59 (2) 1075 (2025)
https://doi.org/10.1051/m2an/2025015

Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations

Luigi C. Berselli and Alex Kaltenbach
Numerische Mathematik 157 (2) 573 (2025)
https://doi.org/10.1007/s00211-025-01450-1

A Narrow Band Finite Element Method for the Level Set Equation

Maxim A. Olshanskii, Arnold Reusken and Paul Schwering
SIAM Journal on Scientific Computing 47 (2) A762 (2025)
https://doi.org/10.1137/24M1674182

Robust Multigrid Methods for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem

Sijing Liu
Computational Methods in Applied Mathematics 25 (1) 133 (2025)
https://doi.org/10.1515/cmam-2023-0132

Improved rates for a space–time FOSLS of parabolic PDEs

Gregor Gantner and Rob Stevenson
Numerische Mathematik 156 (1) 133 (2024)
https://doi.org/10.1007/s00211-023-01387-3

C 0-hybrid high-order methods for biharmonic problems

Zhaonan Dong and Alexandre Ern
IMA Journal of Numerical Analysis 44 (1) 24 (2024)
https://doi.org/10.1093/imanum/drad003

Unfitted mixed finite element methods for elliptic interface problems

Najwa Alshehri, Daniele Boffi and Lucia Gastaldi
Numerical Methods for Partial Differential Equations 40 (1) (2024)
https://doi.org/10.1002/num.23063

A CutFE-LOD method for the multiscale elliptic problems on complex domains

Kuokuo Zhang, Weibing Deng and Haijun Wu
Journal of Computational and Applied Mathematics 445 115820 (2024)
https://doi.org/10.1016/j.cam.2024.115820

Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains

Carsten Carstensen and Benedikt Gräßle
Computer Methods in Applied Mechanics and Engineering 425 116931 (2024)
https://doi.org/10.1016/j.cma.2024.116931

An optimization-based method for sign-changing elliptic PDEs

Assyr Abdulle, Simon Lemaire, M. Picasso, A. Buffa, F. Nobile, S. Deparis, D. Kressner and J. Hesthaven
ESAIM: Mathematical Modelling and Numerical Analysis 58 (6) 2187 (2024)
https://doi.org/10.1051/m2an/2024013

Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints

Brendan Keith and Thomas M. Surowiec
Foundations of Computational Mathematics (2024)
https://doi.org/10.1007/s10208-024-09681-8

A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$

Théophile Chaumont-Frelet and Martin Vohralík
Numerische Mathematik 156 (6) 2293 (2024)
https://doi.org/10.1007/s00211-024-01431-w

Multigrid Preconditioning for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem with a Convection-Dominated State Equation

Sijing Liu and Valeria Simoncini
Journal of Scientific Computing 101 (3) (2024)
https://doi.org/10.1007/s10915-024-02717-9

An HDG and CG Method for the Indefinite Time-Harmonic Maxwell’s Equations Under Minimal Regularity

Gang Chen, Peter Monk and Yangwen Zhang
Journal of Scientific Computing 101 (2) (2024)
https://doi.org/10.1007/s10915-024-02643-w

Convergence of the Incremental Projection Method Using Conforming Approximations

Robert Eymard and David Maltese
Computational Methods in Applied Mathematics 24 (3) 623 (2024)
https://doi.org/10.1515/cmam-2023-0038

Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems

Théophile Chaumont-Frelet
ESAIM: Mathematical Modelling and Numerical Analysis 58 (3) 1087 (2024)
https://doi.org/10.1051/m2an/2024019

Discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints

Sijing Liu, Zhiyu Tan and Yi Zhang
Journal of Computational and Applied Mathematics 437 115494 (2024)
https://doi.org/10.1016/j.cam.2023.115494

Localized Orthogonal Decomposition for a Multiscale Parabolic Stochastic Partial Differential Equation

Annika Lang, Per Ljung and Axel Målqvist
Multiscale Modeling & Simulation 22 (1) 204 (2024)
https://doi.org/10.1137/23M1569216

Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations

Yuxiang Liang and Shun Zhang
Journal of Scientific Computing 96 (1) (2023)
https://doi.org/10.1007/s10915-023-02246-x

A Mixed Discontinuous Galerkin Method for a Linear Viscoelasticity Problem With Strongly Imposed Symmetry

Salim Meddahi and Ricardo Ruiz-Baier
SIAM Journal on Scientific Computing 45 (1) B27 (2023)
https://doi.org/10.1137/22M1482081

Fast mass lumped multiscale wave propagation modelling

Sjoerd Geevers and Roland Maier
IMA Journal of Numerical Analysis 43 (1) 44 (2023)
https://doi.org/10.1093/imanum/drab084

On the Finite Element Approximation of a Semicoercive Stokes Variational Inequality Arising in Glaciology

Gonzalo G. de Diego, Patrick E. Farrell and Ian J. Hewitt
SIAM Journal on Numerical Analysis 61 (1) 1 (2023)
https://doi.org/10.1137/21M1437640

An Improved High-Order Method for Elliptic Multiscale Problems

Zhaonan Dong, Moritz Hauck and Roland Maier
SIAM Journal on Numerical Analysis 61 (4) 1918 (2023)
https://doi.org/10.1137/22M153392X

Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements

Kaifang Liu, Dietmar Gallistl, Matthias Schlottbom and J J W van der Vegt
IMA Journal of Numerical Analysis 43 (4) 2320 (2023)
https://doi.org/10.1093/imanum/drac044

Convergence of Lagrange finite elements for the Maxwell eigenvalue problem in two dimensions

Daniele Boffi, Johnny Guzmán and Michael Neilan
IMA Journal of Numerical Analysis 43 (2) 663 (2023)
https://doi.org/10.1093/imanum/drab104

On the Optimal Control of a Linear Peridynamics Model

Tadele Mengesha, Abner J. Salgado and Joshua M. Siktar
Applied Mathematics & Optimization 88 (3) (2023)
https://doi.org/10.1007/s00245-023-10045-x

The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct

Alexandre Ern and Jean-Luc Guermond
SIAM Journal on Numerical Analysis 61 (6) 2940 (2023)
https://doi.org/10.1137/23M1555235

De Rham compatible Deep Neural Network FEM

Marcello Longo, Joost A.A. Opschoor, Nico Disch, Christoph Schwab and Jakob Zech
Neural Networks 165 721 (2023)
https://doi.org/10.1016/j.neunet.2023.06.008

Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization

Fabian Kröpfl, Roland Maier and Daniel Peterseim
Multiscale Modeling & Simulation 21 (4) 1457 (2023)
https://doi.org/10.1137/22M1524278

Franz Chouly, Patrick Hild and Yves Renard
48 13 (2023)
https://doi.org/10.1007/978-3-031-31423-0_2

Spacetime finite element methods for control problems subject to the wave equation

Erik Burman, Ali Feizmohammadi, Arnaud Münch and Lauri Oksanen
ESAIM: Control, Optimisation and Calculus of Variations 29 41 (2023)
https://doi.org/10.1051/cocv/2023028

On the approximation of dispersive electromagnetic eigenvalue problems in two dimensions

Martin Halla
IMA Journal of Numerical Analysis 43 (1) 535 (2023)
https://doi.org/10.1093/imanum/drab100

A Posteriori Error Estimates for Darcy–Forchheimer’s Problem

Toni Sayah, Georges Semaan and Faouzi Triki
Computational Methods in Applied Mathematics 23 (2) 517 (2023)
https://doi.org/10.1515/cmam-2022-0047

A Priori and a Posteriori Error Analysis of TDNNS Method for Linear Elasticity Problem Under Minimal Regularity

Lina Zhao
Journal of Scientific Computing 95 (3) (2023)
https://doi.org/10.1007/s10915-023-02213-6

Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis

Michele Annese, Miguel A Fernández and Lucia Gastaldi
IMA Journal of Numerical Analysis 43 (2) 881 (2023)
https://doi.org/10.1093/imanum/drac004

Numerical solution of an H (curl)-elliptic hemivariational inequality

Weimin Han, Min Ling and Fei Wang
IMA Journal of Numerical Analysis 43 (2) 976 (2023)
https://doi.org/10.1093/imanum/drac007

Zhaonan Dong and Zuodong Wang
137 251 (2023)
https://doi.org/10.1007/978-3-031-20432-6_15

Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion

Bryan Gómez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier and Vegard Vinje
SIAM Journal on Numerical Analysis 61 (3) 1449 (2023)
https://doi.org/10.1137/21M1449695

Numerical analysis of a FEM based on a time-primitive of the electric field for solving a nonlinear transient eddy current problem

Ramiro Acevedo, Christian Gómez, Bibiana López-Rodríguez and Pilar Salgado
Applied Numerical Mathematics 192 261 (2023)
https://doi.org/10.1016/j.apnum.2023.06.009

Geometric transformation of finite element methods: Theory and applications

Michael Holst and Martin Licht
Applied Numerical Mathematics 192 389 (2023)
https://doi.org/10.1016/j.apnum.2023.07.002

Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

Zhaonan Dong, Alexandre Ern and Jean-Luc Guermond
Comptes Rendus. Mathématique 361 (G4) 723 (2023)
https://doi.org/10.5802/crmath.347

Interpolation operator on negative Sobolev spaces

Lars Diening, Johannes Storn and Tabea Tscherpel
Mathematics of Computation 92 (342) 1511 (2023)
https://doi.org/10.1090/mcom/3824

Operator compression with deep neural networks

Fabian Kröpfl, Roland Maier and Daniel Peterseim
Advances in Continuous and Discrete Models 2022 (1) (2022)
https://doi.org/10.1186/s13662-022-03702-y

Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H (div)

Alexandre Ern, Thirupathi Gudi, Iain Smears and Martin Vohralík
IMA Journal of Numerical Analysis 42 (2) 1023 (2022)
https://doi.org/10.1093/imanum/draa103

A Space-Time Multiscale Method for Parabolic Problems

Per Ljung, Roland Maier and Axel Målqvist
Multiscale Modeling & Simulation 20 (2) 714 (2022)
https://doi.org/10.1137/21M1446605

Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell’s Equations in the Time Domain

Mohammad Asadzadeh and Larisa Beilina
Algorithms 15 (10) 337 (2022)
https://doi.org/10.3390/a15100337

Analysis of Pressure-Robust Embedded-Hybridized Discontinuous Galerkin Methods for the Stokes Problem Under Minimal Regularity

Aaron Baier-Reinio, Sander Rhebergen and Garth N. Wells
Journal of Scientific Computing 92 (2) (2022)
https://doi.org/10.1007/s10915-022-01889-6

First order least-squares formulations for eigenvalue problems

Fleurianne Bertrand and Daniele Boffi
IMA Journal of Numerical Analysis 42 (2) 1339 (2022)
https://doi.org/10.1093/imanum/drab005

Superconvergent HDG methods for Maxwell’s equations via the M-decomposition

Gang Chen, Peter Monk and Yangwen Zhang
Journal of Computational and Applied Mathematics 402 113789 (2022)
https://doi.org/10.1016/j.cam.2021.113789

A new DG method for a pure–stress formulation of the Brinkman problem with strong symmetry

Salim Meddahi and Ricardo Ruiz-Baier
Networks and Heterogeneous Media 17 (6) 893 (2022)
https://doi.org/10.3934/nhm.2022031

Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems

Moritz Hauck and Daniel Peterseim
Multiscale Modeling & Simulation 20 (2) 657 (2022)
https://doi.org/10.1137/21M1414607

Numerical homogenization of fractal interface problems

Ralf Kornhuber, Joscha Podlesny and Harry Yserentant
ESAIM: Mathematical Modelling and Numerical Analysis 56 (4) 1451 (2022)
https://doi.org/10.1051/m2an/2022046

Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations

Théophile Chaumont-Frelet and Patrick Vega
SIAM Journal on Numerical Analysis 60 (4) 1774 (2022)
https://doi.org/10.1137/21M1421805

Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions

Shuhao Cao, Long Chen, Ruchi Guo and Frank Lin
Journal of Scientific Computing 93 (1) (2022)
https://doi.org/10.1007/s10915-022-01949-x

Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications

Lukas Koch
Nonlinear Differential Equations and Applications NoDEA 29 (6) (2022)
https://doi.org/10.1007/s00030-022-00798-9

Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods

Théophile Chaumont-Frelet, Alexandre Ern, Simon Lemaire and Frédéric Valentin
ESAIM: Mathematical Modelling and Numerical Analysis 56 (1) 261 (2022)
https://doi.org/10.1051/m2an/2021082

Multiscale scattering in nonlinear Kerr-type media

Roland Maier and Barbara Verfürth
Mathematics of Computation 91 (336) 1655 (2022)
https://doi.org/10.1090/mcom/3722

Non-Smooth and Complementarity-Based Distributed Parameter Systems

Malte Winckler and Irwin Yousept
International Series of Numerical Mathematics, Non-Smooth and Complementarity-Based Distributed Parameter Systems 172 499 (2022)
https://doi.org/10.1007/978-3-030-79393-7_20

Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem

Zhaonan Dong and Alexandre Ern
SIAM Journal on Numerical Analysis 60 (5) 2626 (2022)
https://doi.org/10.1137/21M1408555

Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity

Alexandre Ern and Jean-Luc Guermond
Foundations of Computational Mathematics 22 (5) 1273 (2022)
https://doi.org/10.1007/s10208-021-09527-7

A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows

Gustavo Alcalá Batistela, Denise de Siqueira, Philippe R. B. Devloo and Sônia M. Gomes
International Journal for Numerical Methods in Engineering 123 (24) 6052 (2022)
https://doi.org/10.1002/nme.7103

Nonconforming discretizations of convex minimization problems and precise relations to mixed methods

Sören Bartels
Computers & Mathematics with Applications 93 214 (2021)
https://doi.org/10.1016/j.camwa.2021.04.014

DG approach to large bending plate deformations with isometry constraint

Andrea Bonito, Ricardo H. Nochetto and Dimitrios Ntogkas
Mathematical Models and Methods in Applied Sciences 31 (01) 133 (2021)
https://doi.org/10.1142/S0218202521500044

On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion

Markus Faustmann, Jens Markus Melenk and Maryam Parvizi
ESAIM: Mathematical Modelling and Numerical Analysis 55 (2) 595 (2021)
https://doi.org/10.1051/m2an/2020079

$$H^1$$-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes

Francesca Bonizzoni and Guido Kanschat
Calcolo 58 (2) (2021)
https://doi.org/10.1007/s10092-021-00409-6

The effect of quadrature rules on finite element solutions of Maxwell variational problems

Rubén Aylwin and Carlos Jerez-Hanckes
Numerische Mathematik 147 (4) 903 (2021)
https://doi.org/10.1007/s00211-021-01186-8

A High-Order Approach to Elliptic Multiscale Problems with General Unstructured Coefficients

Roland Maier
SIAM Journal on Numerical Analysis 59 (2) 1067 (2021)
https://doi.org/10.1137/20M1364321

Automatically adaptive, stabilized finite element method via residual minimization for heterogeneous, anisotropic advection–diffusion–reaction problems

Roberto J. Cier, Sergio Rojas and Victor M. Calo
Computer Methods in Applied Mechanics and Engineering 385 114027 (2021)
https://doi.org/10.1016/j.cma.2021.114027

A posteriori error estimates for finite element discretizations of time-harmonic Maxwell’s equations coupled with a non-local hydrodynamic Drude model

T. Chaumont-Frelet, S. Lanteri and P. Vega
Computer Methods in Applied Mechanics and Engineering 385 114002 (2021)
https://doi.org/10.1016/j.cma.2021.114002

Equivalence of local-best and global-best approximations in H(curl)

Théophile Chaumont-Frelet and Martin Vohralík
Calcolo 58 (4) (2021)
https://doi.org/10.1007/s10092-021-00430-9

Hybrid high-order method for singularly perturbed fourth-order problems on curved domains

Zhaonan Dong and Alexandre Ern
ESAIM: Mathematical Modelling and Numerical Analysis 55 (6) 3091 (2021)
https://doi.org/10.1051/m2an/2021081

An equilibrated a posteriori error estimator for an Interior Penalty Discontinuous Galerkin approximation of the p-Laplace problem

Ronald H. W. Hoppe and Youri Iliash
Russian Journal of Numerical Analysis and Mathematical Modelling 36 (6) 313 (2021)
https://doi.org/10.1515/rnam-2021-0026

Local finite element approximation of Sobolev differential forms

Evan Gawlik, Michael J. Holst and Martin W. Licht
ESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 2075 (2021)
https://doi.org/10.1051/m2an/2021034

A Hybridizable Discontinuous Galerkin Method for the Quad-Curl Problem

Gang Chen, Jintao Cui and Liwei Xu
Journal of Scientific Computing 87 (1) (2021)
https://doi.org/10.1007/s10915-021-01420-3

Numerical homogenization beyond scale separation

Robert Altmann, Patrick Henning and Daniel Peterseim
Acta Numerica 30 1 (2021)
https://doi.org/10.1017/S0962492921000015

An adaptive high-order unfitted finite element method for elliptic interface problems

Zhiming Chen, Ke Li and Xueshuang Xiang
Numerische Mathematik 149 (3) 507 (2021)
https://doi.org/10.1007/s00211-021-01243-2

Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms

Carsten Carstensen and Jun Hu
Computational Methods in Applied Mathematics 21 (3) 529 (2021)
https://doi.org/10.1515/cmam-2021-0083

A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs

Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang and Xiaobo Zheng
Numerische Mathematik 144 (2) 375 (2020)
https://doi.org/10.1007/s00211-019-01090-2

An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms

Victor M. Calo, Alexandre Ern, Ignacio Muga and Sergio Rojas
Computer Methods in Applied Mechanics and Engineering 363 112891 (2020)
https://doi.org/10.1016/j.cma.2020.112891

Space-time approximation of parabolic systems with variable growth

Dominic Breit and Prince Romeo Mensah
IMA Journal of Numerical Analysis 40 (4) 2505 (2020)
https://doi.org/10.1093/imanum/drz039

Dirichlet boundary value correction using Lagrange multipliers

Erik Burman, Peter Hansbo and Mats G. Larson
BIT Numerical Mathematics 60 (1) 235 (2020)
https://doi.org/10.1007/s10543-019-00773-4

On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 3: Sensitivity to Coefficients

Patrick Ciarlet
SIAM Journal on Mathematical Analysis 52 (3) 3004 (2020)
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