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09/01/2023
Denture reinforcement via topology optimization
We present a computational design method that optimizes the reinforcemen...
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07/27/2023
A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods
We formulate and analyze a multiscale method for an elliptic problem wit...
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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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01/30/2023
Parameter estimation for cellular automata
Self organizing complex systems can be modeled using cellular automaton ...
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01/17/2023
Error estimates for completely discrete FEM in energy-type and weaker norms
The paper presents error estimates within a unified abstract framework f...
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07/15/2022
Quasi-Monte Carlo and discontinuous Galerkin
In this study, we design and develop Quasi-Monte Carlo (QMC) cubatures f...
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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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07/23/2021
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems
The algebraic flux correction (AFC) schemes presented in this work const...
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04/12/2021
Analysis of algebraic flux correction for semi-discrete advection problems
We present stability and error analysis for algebraic flux correction sc...
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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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06/16/2020
A subcell-enriched Galerkin method for advection problems
In this work, we introduce a generalization of the enriched Galerkin (EG...
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11/25/2019
Benchmark for numerical solutions of flow in heterogeneous groundwater formations
This article presents numerical investigations on accuracy and convergen...
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06/11/2018