Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
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MC 6496
Tung Hoang, Applied Math, University of Waterloo
Enhancing accuracy of discontinuous Galerkin solutions through postprocessing
Postprocessing for discontinuous Galerkin (DG) method is a technique used to enhance accuracy and smoothness of solutions of hyperbolic problems. Smoothnessincreasing accuracyconserving (SIAC) filters are a class of postprocessing techniques in which we take a convolution of a DG solution with a kernel that is a linear combination of Bsplines. Assuming that k is the order of polynomials in the finite element basis, we use a kernel that is a linear combination of 2k+1 Bsplines of order k+1. In this case, we can increase the order of convergence of DG solutions of linear hyperbolic problems from k+1 to 2k+1, in the natural L2 norm. The SIAC filtering technique is very efficient in terms of computational cost since we only apply it to the DG solutions at the final time.
In this talk I will give an overview of the SIAC filtering technique, advantages of this technique and its limitations. Finally I will discuss some future works toward my thesis on postprocessing for DG solutions of hyperbolic problems.
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Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
PDF files require Adobe Acrobat Reader
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