Bernstein–Bézier $$H({\text {curl}})$$-Conforming Finite Elements for Time-Harmonic Electromagnetic Scattering Problems

Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics

(2021) N. Benatia et al.   APPLIED MATHEMATICAL MODELLING

An adaptive Bernstein-Bézier finite element method for heat transfer analysis in welding

(2020) Xuan Peng et al.   ADVANCES IN ENGINEERING SOFTWARE

Convergence analysis of a hp ‐finite element approximation of the time‐harmonic Maxwell equations with impedance boundary conditions in domains with an analytic boundary

(2020) Serge Nicaise et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Enhanced conformal perfectly matched layers for Bernstein–Bézier finite element modelling of short wave scattering

(2019) A. El Kacimi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

High order HDG method and domain decomposition solvers for frequency‐domain electromagnetics

(2019) Emmanuel Agullo et al.   INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS

Bernstein–Bézier bases for tetrahedral finite elements

(2018) Mark Ainsworth et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Bernstein–Bézier based finite elements for efficient solution of short wave problems

(2018) A. El Kacimi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements

(2017) Christoph Lohmann et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number

(2016) Peipei Lu et al.   MATHEMATICS OF COMPUTATION

A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations

(2015) Liang Li et al.   COMPUTER PHYSICS COMMUNICATIONS

A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations

(2015) M. El Bouajaji et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Bernstein–Bézier Basis for Arbitrary Order Raviart–Thomas Finite Elements

(2014) Mark Ainsworth et al.   CONSTRUCTIVE APPROXIMATION

Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices

(2014) Robert C. Kirby   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time‐harmonic Maxwell's equations

(2013) Liang Li et al.   COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING

The Bernstein polynomial basis: A centennial retrospective

(2012) Rida T. Farouki   COMPUTER AIDED GEOMETRIC DESIGN

Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations

(2012) Ralf Hiptmair et al.   MATHEMATICS OF COMPUTATION

High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell’s equations

(2011) Mohamed El Bouajaji et al.   APPLIED MATHEMATICS AND COMPUTATION

Curl-Conforming Hierarchical Vector Bases for Triangles and Tetrahedra

(2011) Roberto D. Graglia et al.   IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell’s equations

(2011) N.C. Nguyen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS

(2011) RALF HIPTMAIR et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Fast simplicial quadrature-based finite element operators using Bernstein polynomials

(2011) Robert C. Kirby et al.   NUMERISCHE MATHEMATIK

Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures

(2011) Mark Ainsworth et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nonoverlapping Domain Decomposition with Second Order Transmission Condition for the Time-Harmonic Maxwell's Equations

(2010) Vineet Rawat et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Geometric decompositions and local bases for spaces of finite element differential forms

(2009) Douglas N. Arnold et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Optimized Schwarz Methods for Maxwell's Equations

(2009) V. Dolean et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements

(2009) Marie E. Rognes et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Orthogonal Hierarchical NÉdÉlec Elements

(2008) R. Abdul-Rahman et al.   IEEE TRANSACTIONS ON MAGNETICS

Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods

(2007) V. Dolean et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS