activity
20132023
most citedSpace-Time Isogeometric Analysis of Parabolic Evolution Equations

100 citations · 334 across the 42 of their papers we have counts for

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Showing 2015Show all

7 papers · 1 filter

math.NA2015★ 4 cited

Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations

Christoph Hofer, Ulrich Langer

The dual-primal isogeometric tearing and interconnecting (IETI-DP) method is the adaption of the dual-primal finite element tearing and interconnecting (FETI-DP) method to isogeome…

math.NA2015

Discontinuous Galerkin Isogeometric Analysis of Elliptic Diffusion Problems on Segmentations with Gaps

Christoph Hofer, Ulrich Langer, Ioannis Toulopoulos

We propose a new discontinuous Galerkin Isogeometric Analysis (IgA) technique for the numerical solution of elliptic diffusion problems in computational domains decomposed into vol…

math.OC2015★ 1 cited

Functional a posteriori error estimates for time-periodic parabolic optimal control problems

Ulrich Langer, Sergey Repin, Monika Wolfmayr

This paper is devoted to the a posteriori error analysis of multiharmonic finite element approximations to distributed optimal control problems with time-periodic state equations o…

math.NA2015

Mesh Grading in Isogeometric Analysis

Ulrich Langer, Angelos Mantzaflaris, Stephen E. Moore +1

This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuo…

math.NA2015★ 100 cited

Space-Time Isogeometric Analysis of Parabolic Evolution Equations

Ulrich Langer, Stephen E. Moore, Martin Neumüller

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 computatio…

math.NA2015★ 4 cited

Numerical simulation of parabolic moving and growing interface problems using small mesh deformation

Ulrich Langer, Huidong Yang

In this work, we develop a cutting method for solving problems with moving and growing interfaces in 3D. This new method is able to resolve large displacement or deformation of imm…