A WENO finite-difference scheme for a new class of Hamilton-Jacobi equations in nonlinear solid mechanics

DOI10.1016/j.cma.2019.02.008zbMath1441.74293OpenAlexW2917313526WikidataQ128341789 ScholiaQ128341789MaRDI QIDQ2174126

Victor Lefèvre, Oscar Lopez-Pamies, Alvaro Garnica

Publication date: 20 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.02.008

zbMATH Keywords

electromagnetic solidsexact Hamilton-Jacobi solutionsflux numerical methodshigh-order WENO schemesporous elastomers

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06) Hamilton-Jacobi equations in mechanics (70H20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (7)

On moving mesh WENO schemes with characteristic boundary conditions for Hamilton-Jacobi equations ⋮ Homogenization of elastomers filled with liquid inclusions: the small-deformation limit ⋮ The nonlinear viscoelastic response of suspensions of vacuous bubbles in rubber. I: Gaussian rubber with constant viscosity ⋮ On the two-potential constitutive modeling of dielectric elastomers ⋮ Regime-switching constrained viscosity solutions approach for controlling dam-reservoir systems ⋮ A class of coherent potentials for two-phase creeping solids ⋮ High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations^†

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