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02/05/2023
Discrete tensor product BGG sequences: splines and finite elements
In this paper, we provide a systematic discretization of the Bernstein-...
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01/31/2023
Homogeneous multigrid method for HDG applied to the Stokes equation
We propose a multigrid method to solve the linear system of equations ar...
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07/01/2022
A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity
We develop tensor product finite element cochain complexes of arbitrary ...
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08/16/2021
Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations
We introduce a general, analytical framework to express and to approxima...
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03/31/2021
Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods
Uniform convergence of the geometric multigrid V-cycle is proven for HDG...
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01/29/2021
Homogeneous multigrid for embedded discontinuous Galerkin methods
We introduce a homogeneous multigrid method in the sense that it uses th...
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11/27/2020
HMG – Homogeneous multigrid for HDG
We introduce a homogeneous multigrid method in the sense that it uses th...
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10/01/2020
H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes
A finite element cochain complex on Cartesian meshes of any dimension ba...
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10/24/2019
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods
In this article, we discuss the efficient implementation of powerful dom...
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04/05/2019
A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM
We present data structures and implementation details of a geometric mul...
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11/09/2018