Systematisation of Systems Solving Physics Boundary Value Problems

DOI10.1007/978-3-030-55874-1_3zbMath1470.65186OpenAlexW3159261805WikidataQ109747658 ScholiaQ109747658MaRDI QIDQ5152791

Tuomo Rossi, L. Kettunen, Jonni Lohi, Sanna Mönkölä, Sampsa Kiiskinen, Jukka Räbinä

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://urn.fi/URN:NBN:fi:jyu-202111015459

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022

Uses Software

• GetDP
• COMSOL

Cites Work

• Cauchy's theorem on manifolds
• The geometry of Cauchy's fluxes
• Neumann resonances in linear elasticity for an arbitrary body
• On the geometric character of stress in continuum mechanics
• Efficient Time Integration of Maxwell's Equations with Generalized Finite Differences
• Riemannian Geometry
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Yee-like schemes on a tetrahedral mesh, with diagonal lumping
• Generalized wave propagation problems and discrete exterior calculus
• A singularity removal theorem for Yang-Mills fields in higher dimensions
• Metric-independent analysis of the stress-energy tensor
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