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math.NA2019
Convergence in the incompressible limit of new discontinuous Galerkin methods with general quadrilateral and hexahedral elements
Beverley J. Grieshaber, Andrew T. McBride, B. Daya Reddy
Standard low-order finite elements, which perform well for problems involving compressible elastic materials, are known to under-perform when nearly incompressible materials are in…
math.NA2019
Assessment of an Isogeometric Approach with Catmull-Clark Subdivision Surfaces using the Laplace-Beltrami Problems
Zhaowei Liu, Andrew McBride, Prashant Saxena +1
An isogeometric approach for solving the Laplace-Beltrami equation on a two-dimensional manifold embedded in three-dimensional space using a Galerkin method based on Catmull-Clark…