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20142025
most citedFast Isogeometric Boundary Element Method based on Independent Field Approximation

144 citations · 322 across the 20 of their papers we have counts for

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9 papers · 1 filter

math.NA2025

Isogeometric Topology Optimization Based on Topological Derivatives

Guilherme Henrique Teixeira, Nepomuk Krenn, Peter Gangl +1

Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can bec…

math.NA2020

Immersed Boundary-Conformal Isogeometric Method for Linear Elliptic Problems

Xiaodong Wei, Benjamin Marussig, Pablo Antolin +1

We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a si…

math.NA2016★ 61 cited

Stable Isogeometric Analysis of Trimmed Geometries

Benjamin Marussig, Jürgen Zechner, Gernot Beer +1

We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splin…

math.NA2015★ 34 cited

Isogeometric Boundary Element Analysis with elasto-plastic inclusions. Part 1: Plane problems

Gernot Beer, Benjamin Marussig, Jürgen Zechner +2

In this work a novel approach is presented for the isogeometric Boundary Element analysis of domains that contain inclusions with different elastic properties than the ones used fo…

math.NA2015

The Isogeometric Nyström Method

Jürgen Zechner, Benjamin Marussig, Gernot Beer +1

In this paper the isogeometric Nyström method is presented. It's outstanding features are: it allows the analysis of domains described by many different geometrical mapping methods…

math.NA2015★ 41 cited

A simple approach to the numerical simulation with trimmed CAD surfaces

Gernot Beer, Benjamin Marussig, Jürgen Zechner

In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity a…

math.NA2014★ 16 cited

Boundary Element Analysis with trimmed NURBS and a generalized IGA approach

Gernot Beer, Benjamin Marussig, Jürgen Zechner +2

A novel approach to the simulation with the boundary element method using trimmed NURBS patches is presented. The advantage of this approach is its efficiency and easy implementati…

math.NA2014★ 5 cited

Isogeometric Boundary Element Method with Hierarchical Matrices

Jürgen Zechner, Benjamin Marussig, Gernot Beer +1

In this work we address the complexity problem of the isogeometric Boundary Element Method by proposing a collocation scheme for practical problems in linear elasticity and the app…

math.NA2014★ 144 cited

Fast Isogeometric Boundary Element Method based on Independent Field Approximation

Benjamin Marussig, Jürgen Zechner, Gernot Beer +1

An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. T…