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职业迁徙
个人简介
My current research is concerned with problems from Numerical Analysis, Applied Mathematics, and Scientific Computing. I am particularly interested in developing and analysing new discretisation methods for the numerical solution of partial differential equations. Recent projects comprise:
The development of new high-order discretisation spaces based upon radial basis functions and scattered data. These are flexible tools particularly for problems with moving boundaries or in higher dimensional spaces.
The investigation of efficient solvers for fluid-structure-interaction problems as they typically appear in aeroelasticity.
The development of divergence-free approximation spaces with applications to fluid-flow problems.
The analysis of multiscale phenomena using scaled versions of compactly supported radial basis functions.
The application of meshfree methods to dynamical systems with applications in biomechanics.
The development of meshfree approximation methods on the sphere with applications to geo-science problems and weather modelling.
The application of meshfree methods to semilinear parabolic problems on (evolving) surfaces.
The development of new high-order discretisation spaces based upon radial basis functions and scattered data. These are flexible tools particularly for problems with moving boundaries or in higher dimensional spaces.
The investigation of efficient solvers for fluid-structure-interaction problems as they typically appear in aeroelasticity.
The development of divergence-free approximation spaces with applications to fluid-flow problems.
The analysis of multiscale phenomena using scaled versions of compactly supported radial basis functions.
The application of meshfree methods to dynamical systems with applications in biomechanics.
The development of meshfree approximation methods on the sphere with applications to geo-science problems and weather modelling.
The application of meshfree methods to semilinear parabolic problems on (evolving) surfaces.
研究兴趣
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Numerische Mathematikno. 3-4 (2023): 485-519
SIAM JOURNAL ON SCIENTIFIC COMPUTINGno. 5 (2023): A2458-A2482
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