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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 2014 · math.NAShow all

5 papers · 2 filters

math.NA2014

Functional a posteriori error estimates for parabolic time-periodic boundary value problems

Ulrich Langer, Sergey Repin, Monika Wolfmayr

The paper is concerned with parabolic time-periodic boundary value problems which are of theoretical interest and arise in different practical applications. The multiharmonic finit…

math.NA2014★ 63 cited

Multipatch Discontinuous Galerkin Isogeometric Analysis

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

Isogeometric analysis (IgA) uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical appl…

math.NA2014★ 1 cited

Numerical Simulation of Fluid-Structure Interaction Problems with Hyperelastic Models: A Monolithic Approach

Ulrich Langer, Huidong Yang

In this paper, we consider a monolithic approach to handle coupled fluid-structure interaction problems with different hyperelastic models in an all-at-once manner. We apply Newton…

math.NA2014★ 1 cited

Analysis of Multipatch Discontinuous Galerkin IgA Approximations to Elliptic Boundary Value Problems

Ulrich Langer, Ioannis Toulopoulos

In this work, we study the approximation properties of multi-patch dG-IgA methods, that apply the multipatch Isogeometric Analysis (IgA) discretization concept and the discontinuou…

math.NA2014★ 2 cited

Discontinuous Galerkin Isogeometric Analysis of Elliptic PDEs on Surfaces

Ulrich Langer, Stephen Edward Moore

Isogeometric analysis uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical applicatio…