Space-time isogeometric analysis of parabolic evolution problems

作者：Langer Ulrich^*; Moore Stephen E; Neumueller Martin

来源：Computer Methods in Applied Mechanics and Engineering, 2016, 306: 342-363.

DOI：10.1016/j.cma.2016.03.042

• Parabolic initial-boundary value problems
• Space-time isogeometric analysis
• Fixed and moving spatial computational domains
• A priori discretization error estimates

We present and analyze a new stable space-time Isogeometric Analysis (IgA) method for the numerical solution of parabolic evolution equations in fixed and moving spatial computational domains. The discrete bilinear form is elliptic on the IgA space with respect to a discrete energy norm. This property together with a corresponding boundedness property, consistency and approximation results for the IgA spaces yields an a priori discretization error estimate with respect to the discrete norm. The theoretical results are confirmed by several numerical experiments with low- and high-order IgA spaces.

• 出版日期2016-7-1