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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 2015 · math.NAShow all

6 papers · 2 filters

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.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…

math.NA2015★ 15 cited

Convection-adapted BEM-based FEM

Clemens Hofreither, Ulrich Langer, Steffen Weißer

We present a new discretization method for homogeneous convection-diffusion-reaction boundary value problems in 3D that is a non-standard finite element method with PDE-harmonic sh…