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A space–time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance by R. Abedi; B. Petracovici; R.B. Haber is a Engineering article available to read on EtoBox.
What is A space–time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance about?
We present a new space-time discontinuous Galerkin finite element method for linearized elastodynamics that delivers exact balance of linear and angular momentum over every space-time element. The method is formulated for use with fully unstructured space-time grids and uses displacement basis functions that are discontinuous across all interelement boundaries. We introduce a new space-time formulation of continuum elastodynamics that uses differential forms and the exterior calculus on manifolds to generate a system of space-time field equations and jump conditions. Then we invoke a Bubnov-Galerkin weighted residuals procedure to formulate the finite element method. We describe an implementation on patch-wise causal meshes that features linear complexity in the number of elements and special per-pixel accurate visualization. Numerical examples confirm an a priori error estimate and demonstrate the methodÕs shock-capturing capabilities.
Who reads A space–time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- R. Abedi; B. Petracovici; R.B. Haber
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0045-7825)
- Published
- 2006
- Language
- EN
- Field
- Engineering (Physical Sciences)