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Discontinuous Galerkin methods through the lens of variational multiscale analysis
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Theory of Graded-Bandgap Thin-Film Solar Cells
Faiz Ahmad, Akhlesh Lakhtakia and Peter B. Monk Synthesis Lectures on Electromagnetics, Theory of Graded-Bandgap Thin-Film Solar Cells 1 (2021) https://doi.org/10.1007/978-3-031-02024-7_1
Adaptive HDG Methods for the Brinkman Equations with Application to Optimal Control
Faiz Ahmad, Akhlesh Lakhtakia and Peter B. Monk Synthesis Lectures on Electromagnetics, Theory of Graded-Bandgap Thin-Film Solar Cells 33 (2021) https://doi.org/10.1007/978-3-031-02024-7_3
A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media
Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells
Tom H. Anderson, Benjamin J. Civiletti, Peter B. Monk and Akhlesh Lakhtakia Journal of Computational Physics 407 109242 (2020) https://doi.org/10.1016/j.jcp.2020.109242
Adaptive Flux-Only Least-Squares Finite Element Methods for Linear Transport Equations
Efficiency enhancement of ultrathin CIGS solar cells by optimal bandgap grading
Faiz Ahmad, Tom H. Anderson, Peter B. Monk and Akhlesh Lakhtakia Applied Optics 58(22) 6067 (2019) https://doi.org/10.1364/AO.58.006067
Torben A. Lenau, Faiz Ahmad, Akhlesh Lakhtakia, Akhlesh Lakhtakia, Raúl J. Martín-Palma and Mato Knez 13 (2019) https://doi.org/10.1117/12.2513259
A posteriori error analysis of an HDG method for the Oseen problem
A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations
Gang Chen, Liangya Pi, Liwei Xu and Yangwen Zhang SIAM Journal on Numerical Analysis 57(6) 2551 (2019) https://doi.org/10.1137/18M1192573
Mathematical Analysis and Applications
Anastasios Raptis, Konstantina Kyriakoudi and Michail A. Xenos Springer Optimization and Its Applications, Mathematical Analysis and Applications 154 481 (2019) https://doi.org/10.1007/978-3-030-31339-5_18
Analysis of an adaptive HDG method for the Brinkman problem
A hybridizable discontinuous Galerkin method for two‐phase flow in heterogeneous porous media
Maurice S. Fabien, Matthew G. Knepley and Béatrice M. Rivière International Journal for Numerical Methods in Engineering 116(3) 161 (2018) https://doi.org/10.1002/nme.5919
Uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection
Chunguang Xiong, Fusheng Luo and Xiuling Ma ESAIM: Mathematical Modelling and Numerical Analysis 52(2) 751 (2018) https://doi.org/10.1051/m2an/2017058
Benjamin J. Civiletti, Tom H. Anderson, Peter B. Monk, Akhlesh Lakhtakia, Jeremy N. Munday, Peter Bermel and Michael D. Kempe 28 (2018) https://doi.org/10.1117/12.2320795
A new weak Galerkin finite element scheme for general second-order elliptic problems