[PDF][PDF] Hybrid finite element-spectral element approximation of wave propagation problems
DJP Lahaye, F Maggio, A Quarteroni - East West Journal of …, 1997 - researchgate.net
DJP Lahaye, F Maggio, A Quarteroni
East West Journal of Numerical Mathematics, 1997•researchgate.netThe spatial discretization of the problem (1.1)-(1.3) by both the nite element method (FEM)
and spectral element method (SEM) moves from a reformulation of the di erential problem
into an equivalent variational or weak formulation. In this new formulation only rst order
spatial di erentiation operators appear. As a result, the variational formulation allows us to
obtain solutions with discontinuous gradients. In the sequel, we will use the real functional
spaces L2 (), H1 (), H 1 () and Hs (), s 2 IR. We recall that
and spectral element method (SEM) moves from a reformulation of the di erential problem
into an equivalent variational or weak formulation. In this new formulation only rst order
spatial di erentiation operators appear. As a result, the variational formulation allows us to
obtain solutions with discontinuous gradients. In the sequel, we will use the real functional
spaces L2 (), H1 (), H 1 () and Hs (), s 2 IR. We recall that
The spatial discretization of the problem (1.1)-(1.3) by both the nite element method (FEM) and spectral element method (SEM) moves from a reformulation of the di erential problem into an equivalent variational or weak formulation. In this new formulation only rst order spatial di erentiation operators appear. As a result, the variational formulation allows us to obtain solutions with discontinuous gradients. In the sequel, we will use the real functional spaces L2 (), H1 (), H 1 () and Hs (), s 2 IR. We recall that
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