Matches in SemOpenAlex for { <https://semopenalex.org/work/W3023103662> ?p ?o ?g. }
- W3023103662 endingPage "109484" @default.
- W3023103662 startingPage "109484" @default.
- W3023103662 abstract "We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on polytopic meshes. To model sound propagation with losses through homogeneous media, we use Westervelt's nonlinear wave equation with strong damping. Challenges in the numerical analysis lie in handling the nonlinearity in the model, which involves the derivatives in time of the acoustic velocity potential, and in preventing the equation from degenerating. We rely in our approach on the Banach fixed-point theorem combined with a stability and convergence analysis of a linear wave equation with a variable coefficient in front of the second time derivative. By doing so, we derive an a priori error estimate for Westervelt's equation in a suitable energy norm for the polynomial degree p≥2. Numerical experiments carried out in two-dimensional settings illustrate the theoretical convergence results. In addition, we demonstrate efficiency of the method in a three-dimensional domain with varying medium parameters, where we use the discontinuous Galerkin approach in a hybrid way." @default.
- W3023103662 created "2020-05-13" @default.
- W3023103662 creator A5014826338 @default.
- W3023103662 creator A5018841476 @default.
- W3023103662 creator A5026093634 @default.
- W3023103662 creator A5054737690 @default.
- W3023103662 creator A5063675442 @default.
- W3023103662 date "2020-08-01" @default.
- W3023103662 modified "2023-10-02" @default.
- W3023103662 title "A high-order discontinuous Galerkin method for nonlinear sound waves" @default.
- W3023103662 cites W1546669902 @default.
- W3023103662 cites W1790345590 @default.
- W3023103662 cites W1976171569 @default.
- W3023103662 cites W1990507707 @default.
- W3023103662 cites W1991776182 @default.
- W3023103662 cites W1996885477 @default.
- W3023103662 cites W2002700597 @default.
- W3023103662 cites W2023621602 @default.
- W3023103662 cites W2029725158 @default.
- W3023103662 cites W2032961415 @default.
- W3023103662 cites W2040382997 @default.
- W3023103662 cites W2049467895 @default.
- W3023103662 cites W2057948975 @default.
- W3023103662 cites W2058382538 @default.
- W3023103662 cites W2071430042 @default.
- W3023103662 cites W2076945160 @default.
- W3023103662 cites W2077250325 @default.
- W3023103662 cites W2089325762 @default.
- W3023103662 cites W2098685305 @default.
- W3023103662 cites W2106967986 @default.
- W3023103662 cites W2116404756 @default.
- W3023103662 cites W2127159611 @default.
- W3023103662 cites W2136801087 @default.
- W3023103662 cites W2151131086 @default.
- W3023103662 cites W2158574387 @default.
- W3023103662 cites W2160693782 @default.
- W3023103662 cites W2276259090 @default.
- W3023103662 cites W2291209308 @default.
- W3023103662 cites W2294394065 @default.
- W3023103662 cites W2525823748 @default.
- W3023103662 cites W253008781 @default.
- W3023103662 cites W2587992644 @default.
- W3023103662 cites W2592125241 @default.
- W3023103662 cites W2795676075 @default.
- W3023103662 cites W2802780439 @default.
- W3023103662 cites W2887880955 @default.
- W3023103662 cites W2962814658 @default.
- W3023103662 cites W2966298938 @default.
- W3023103662 cites W2976972080 @default.
- W3023103662 cites W3100924630 @default.
- W3023103662 cites W4293028925 @default.
- W3023103662 cites W2013313255 @default.
- W3023103662 doi "https://doi.org/10.1016/j.jcp.2020.109484" @default.
- W3023103662 hasPublicationYear "2020" @default.
- W3023103662 type Work @default.
- W3023103662 sameAs 3023103662 @default.
- W3023103662 citedByCount "16" @default.
- W3023103662 countsByYear W30231036622021 @default.
- W3023103662 countsByYear W30231036622022 @default.
- W3023103662 countsByYear W30231036622023 @default.
- W3023103662 crossrefType "journal-article" @default.
- W3023103662 hasAuthorship W3023103662A5014826338 @default.
- W3023103662 hasAuthorship W3023103662A5018841476 @default.
- W3023103662 hasAuthorship W3023103662A5026093634 @default.
- W3023103662 hasAuthorship W3023103662A5054737690 @default.
- W3023103662 hasAuthorship W3023103662A5063675442 @default.
- W3023103662 hasBestOaLocation W30231036622 @default.
- W3023103662 hasConcept C121332964 @default.
- W3023103662 hasConcept C134306372 @default.
- W3023103662 hasConcept C135628077 @default.
- W3023103662 hasConcept C145589544 @default.
- W3023103662 hasConcept C158622935 @default.
- W3023103662 hasConcept C17744445 @default.
- W3023103662 hasConcept C186899397 @default.
- W3023103662 hasConcept C191795146 @default.
- W3023103662 hasConcept C199539241 @default.
- W3023103662 hasConcept C204723758 @default.
- W3023103662 hasConcept C24890656 @default.
- W3023103662 hasConcept C25878781 @default.
- W3023103662 hasConcept C28826006 @default.
- W3023103662 hasConcept C33923547 @default.
- W3023103662 hasConcept C59696629 @default.
- W3023103662 hasConcept C62520636 @default.
- W3023103662 hasConcept C90119067 @default.
- W3023103662 hasConcept C92244383 @default.
- W3023103662 hasConcept C97355855 @default.
- W3023103662 hasConceptScore W3023103662C121332964 @default.
- W3023103662 hasConceptScore W3023103662C134306372 @default.
- W3023103662 hasConceptScore W3023103662C135628077 @default.
- W3023103662 hasConceptScore W3023103662C145589544 @default.
- W3023103662 hasConceptScore W3023103662C158622935 @default.
- W3023103662 hasConceptScore W3023103662C17744445 @default.
- W3023103662 hasConceptScore W3023103662C186899397 @default.
- W3023103662 hasConceptScore W3023103662C191795146 @default.
- W3023103662 hasConceptScore W3023103662C199539241 @default.
- W3023103662 hasConceptScore W3023103662C204723758 @default.
- W3023103662 hasConceptScore W3023103662C24890656 @default.
- W3023103662 hasConceptScore W3023103662C25878781 @default.