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08/03/2023
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling
We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system wit...
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06/01/2023
A Yee-like finite-element scheme for Maxwell's equations on unstructured grids
A novel finite element scheme is studied for solving the time-dependent ...
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04/04/2023
Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force
The propagation of charged particles through a scattering medium in the ...
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09/21/2022
A Yee-like finite element scheme for Maxwell's equations on hybrid grids
A novel finite element method for the approximation of Maxwell's equatio...
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09/09/2022
An asymptotic preserving hybrid-dG method for convection-diffusion equations on pipe networks
We study the numerical approximation of singularly perturbed convection-...
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09/08/2022
A structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system
We propose and analyze a novel structure-preserving space-time variation...
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08/22/2022
On uniqueness and stable estimation of multiple parameters in the Cahn-Hilliard equation
We consider the identifiability and stable numerical estimation of multi...
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02/16/2022
On higher order passivity preserving schemes for nonlinear Maxwell's equations
We present two strategies for designing passivity preserving higher orde...
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12/10/2021
On torque computation in electric machine simulation by harmonic mortar methods
The use of trigonometric polynomials as Lagrange multipliers in the harm...
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08/11/2021
MONA – A magnetic oriented nodal analysis for electric circuits
The modified nodal analysis (MNA) is probably the most widely used formu...
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03/23/2021
A fast and oblivious matrix compression algorithm for Volterra integral operators
The numerical solution of dynamical systems with memory requires the eff...
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02/10/2021
Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility
Based on relative energy estimates, we study the stability of solutions ...
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05/25/2020
On the stability of harmonic mortar methods with application to electric machines
Harmonic stator-rotor coupling offers a promising approach for the inter...
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04/24/2020
A model reduction approach for inverse problems with operator valued data
We study the efficient numerical solution of linear inverse problems wit...
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04/01/2020
A convolution quadrature method for Maxwell's equations in dispersive media
We study the systematic numerical approximation of Maxwell's equations i...
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02/13/2020
A second order finite element method with mass lumping for Maxwell's equations on tetrahedra
We consider the numerical approximation of Maxwell's equations in time d...
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01/22/2020
A hybrid discontinuous Galerkin method for transport equations on networks
We discuss the mathematical modeling and numerical discretization of tra...
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12/30/2019
On the structure preserving high-order approximation of quasistatic poroelasticity
We consider the systematic numerical approximation of Biot's quasistatic...
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12/15/2019
A second order finite element method with mass lumping for wave equations in H(div)
We consider the efficient numerical approximation of acoustic wave propa...
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12/15/2019