20170221
For more than thirty years it was thought that the efficient construction of pressurerobust mixed methods for the incompressible NavierStokes equations, whose velocity error is pressureindependent, was practically impossible. However, a novel, quite universal construction approach shows that it is indeed rather easy to construct pressurerobust mixed methods. The approach repairs a certain (L2)orthogonality between gradient fields and discretely divergencefree test functions, and works for families of arbitraryorder mixed finite element methods, arbitraryorder discontinuous Galerkin methods, and finite volume methods. Novel benchmarks for the incompressible NavierStokes equations show that the approach promises significant speedups in computational practice, whenever the continuous pressure is complicated.
Category: CE SeminarTechnische Universität Darmstadt
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