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20192022
most citedNon-stationary Anderson acceleration with optimized damping

7 citations · 10 across the 5 of their papers we have counts for

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math.NA20222 cited

Composite Anderson acceleration method with dynamic window-sizes and optimized damping

Kewang Chen, Cornelis Vuik

In this paper, we propose and analyze a set of fully non-stationary Anderson acceleration algorithms with dynamic window sizes and optimized damping. Although Anderson acceleration…

math.NA20227 cited

Non-stationary Anderson acceleration with optimized damping

Kewang Chen, Cornelis Vuik

Anderson acceleration (AA) has a long history of use and a strong recent interest due to its potential ability to dramatically improve the linear convergence of the fixed-point ite…

math.NA2021

Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis

Roel Tielen, Matthias Möller, Cornelis Vuik

Isogeometric Analysis (IgA) has become a viable alternative to the Finite Element Method (FEM) and is typically combined with a time integration scheme within the method of lines f…

math.NA2021

A stabilized mixed finite element scheme for frictional contact mechanics and shear failure analyses in deformable media with crossing fractures

Luyu Wang, Cornelis Vuik, Hadi Hajibeygi

Simulation of frictional contact and shear failure of fractures in fractured media is of paramount important in computational mechanics. In this work, a preconditioned mixed-finite…

math.NA2020

Towards Accuracy and Scalability: Combining Isogeometric Analysis with Deflation to Obtain Scalable Convergence for the Helmholtz Equation

Vandana Dwarka, Roel Tielen, Matthias Möller +1

Finding fast yet accurate numerical solutions to the Helmholtz equation remains a challenging task. The pollution error (i.e. the discrepancy between the numerical and analytical w…

math.NA2020

The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications

Jochen Hinz, Andrzej Jaeschke, Matthias Möller +1

This paper proposes a shape optimization algorithm based on the principles of Isogeometric Analysis (IGA) in which the parameterization of the geometry enters the problem formulati…