ℓFEM is a loop-free MATLAB package implementing isoparametric bulk and surface finite elements with high-order support, assembly details, and performance tests.
A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part II: Implementation and Tests in DUNE
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A nonconforming virtual element method is developed for the vanishing moment approximation of the Monge-Ampère equation in 2D, with optimal a priori error estimates in H2, H1 and L2 norms plus existence and uniqueness of the discrete solution.
Domain-of-dependence stabilization for cut-cell meshes achieves fully discrete stability for linear advection under a CFL condition independent of arbitrarily small cell sizes.
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$\ell$FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements
ℓFEM is a loop-free MATLAB package implementing isoparametric bulk and surface finite elements with high-order support, assembly details, and performance tests.
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Nonconforming virtual element method for the Monge-Amp\`ere equation
A nonconforming virtual element method is developed for the vanishing moment approximation of the Monge-Ampère equation in 2D, with optimal a priori error estimates in H2, H1 and L2 norms plus existence and uniqueness of the discrete solution.
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The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable
Domain-of-dependence stabilization for cut-cell meshes achieves fully discrete stability for linear advection under a CFL condition independent of arbitrarily small cell sizes.