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20242026
most citedPerfectly Matched Layers and Characteristic Boundaries in Lattice Boltzmann: Accuracy vs Cost

1 citations · 1 across the 5 of their papers we have counts for

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7 papers

math.NA2026

A Generalized Scalar Auxiliary Variable Method for Structure-Preserving and Efficient Integration of Nonlinear port-Hamiltonian DAEs

Aashutosh Sharma, Andreas Bartel, Manuel Schaller

We develop an energy-optimal generalized scalar auxiliary variable (EOP-GSAV) framework for nonlinear index-one port-Hamiltonian differential-algebraic equations (pH-DAEs). Exploit…

math.NA2026

Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs

Marius Mönch, Nicole Marheineke, Andreas Bartel +2

Operator splitting provides an attractive approach for the numerical integration of (coupled) port-Hamiltonian systems, as it allows the underlying system structure to be exploited…

math.NA2026

Structure-Preserving Operator Splitting via JR-Decomposition for Circuit Models

Andreas Bartel, Malak Diab

We investigate circuit models, namely, modified nodal analysis (MNA) in the port-Hamiltonian framework. Based on this, the JR-decomposition for the numerical treatment would offer…

math.NA2026

Goal-Oriented Time Adaptivity for Linear Port-Hamiltonian Differential-Algebraic Equations of Index~1

Aashutosh Sharma, Andreas Bartel, Manuel Schaller

Port-Hamiltonian systems provide a highly-structured framework for modeling of physical systems. By definition, they encode a balance equation relating energy changes to supplied a…

math.NA2026

Splitting Schemes for ODEs with Goal-Oriented Error Estimation

Erik Weyl, Andreas Bartel, Manuel Schaller

We present a hybrid a-priori/a-posteriori goal oriented error estimator for a combination of dynamic iteration-based solution of ordinary differential equations discretized by fini…

physics.flu-dyn20251 cited

Perfectly Matched Layers and Characteristic Boundaries in Lattice Boltzmann: Accuracy vs Cost

Friedemann Klass, Alessandro Gabbana, Andreas Bartel

Artificial boundary conditions (BCs) play a ubiquitous role in numerical simulations of transport phenomena in several diverse fields, such as fluid dynamics, electromagnetism, aco…