Capturing Domain Curvature via Blending
Not all PDE problems are posed on polygonal domains which can exactly be meshed by triangulations. A standard approach in Finite Element methods is the use of iso- or superparameteric elements to deform triangles or tetrahedra in order to increase the approximation of curved domain boundaries. An alternative is to use a collection of explicit blending maps which allow to exactly describe the domain. In this talk we are going to take a look at the blending approach, how it affects the bilinear forms in a Finite Element formulation and describe how this is implemented within the HyTeG framework.
https://www.geophysik.uni-muenchen.de/en/seminars/seminars/geocomputing-26/capturing-domain-curvature-via-blending
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Capturing Domain Curvature via Blending
Abstract
Not all PDE problems are posed on polygonal domains which can exactly be meshed by triangulations. A standard approach in Finite Element methods is the use of iso- or superparameteric elements to deform triangles or tetrahedra in order to increase the approximation of curved domain boundaries. An alternative is to use a collection of explicit blending maps which allow to exactly describe the domain.
In this talk we are going to take a look at the blending approach, how it affects the bilinear forms in a Finite Element formulation and describe how this is implemented within the HyTeG framework.
