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Data-driven Whitney forms for structure-preserving control volume analysis
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An Application-Driven Method for Assembling Numerical Schemes for the Solution of Complex Multiphysics Problems
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A Reduced Basis Method for Darcy Flow Systems that Ensures Local Mass Conservation by Using Exact Discrete Complexes
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Superconvergence in H1-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh
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Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap
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Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
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H1‐superconvergence of finite difference method based on Q1‐element on quasi‐uniform mesh for the 3D Poisson equation
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Three dimensional simulation of the dynamics of electro active polymers using shell elements
Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra
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Numerical Methods and Applications
Francisco J. Gaspar, Carmen Rodrigo, Xiaozhe Hu, et al. Lecture Notes in Computer Science, Numerical Methods and Applications 11189 3 (2019) https://doi.org/10.1007/978-3-030-10692-8_1
Multipoint flux mixed finite element methods for slightly compressible flow in porous media
Raviart–Thomas finite elements of Petrov–Galerkin type
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Encyclopedia of Computational Mechanics Second Edition
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MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS
Time Discretization Schemes for Poincaré Waves in Finite-Element Shallow-Water Models
Daniel Y. Le Roux, Michel Dieme and Abdou Sene SIAM Journal on Scientific Computing 33(5) 2217 (2011) https://doi.org/10.1137/090779413
Error estimates for the finite volume discretization for the porous medium equation
I.S. Pop, M. Sepúlveda, F.A. Radu and O.P. Vera Villagrán Journal of Computational and Applied Mathematics 234(7) 2135 (2010) https://doi.org/10.1016/j.cam.2009.08.071
A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
Marco Brera, Joseph W. Jerome, Yoichiro Mori and Riccardo Sacco Computer Methods in Applied Mechanics and Engineering 199(41-44) 2709 (2010) https://doi.org/10.1016/j.cma.2010.05.016
A Multipoint Flux Mixed Finite Element Method on Hexahedra
Impact of mass lumping on gravity and Rossby waves in 2D finite‐element shallow‐water models
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A finite volume method on general surfaces and its error estimates
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Finite volume discretization for dynamic viscosities on Voronoi grids
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Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems
Paola Causin, Riccardo Sacco and Carlo L. Bottasso ESAIM: Mathematical Modelling and Numerical Analysis 39(6) 1087 (2005) https://doi.org/10.1051/m2an:2005050
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
The maximum principle violations of the mixed-hybrid finite-element method applied to diffusion equations
H. Hoteit, R. Mosé, B. Philippe, Ph. Ackerer and J. Erhel International Journal for Numerical Methods in Engineering 55(12) 1373 (2002) https://doi.org/10.1002/nme.531
Dual-primal mixed finite elements for elliptic problems
Transient Numerical Simulation of Combustion in Inert Porous Media
P. Knabner, M. J. De Neef and G. Summ ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 79(S1) 45 (1999) https://doi.org/10.1002/zamm.19990791312