4 papers · 1 filter
Application of Randomized Quadrature Formulas to the Finite Element Method for Elliptic Equations
Raphael Kruse, Nick Polydorides, Yue Wu
The implementation of the finite element method for linear elliptic equations requires to assemble the stiffness matrix and the load vector. In general, the entries of this matrix-…
A Sketched Finite Element Method for Elliptic Models
Robert Lung, Yue Wu, Dimitris Kamilis +1
We consider a sketched implementation of the finite element method for elliptic partial differential equations on high-dimensional models. Motivated by applications in real-time si…
A Multilevel Monte Carlo Estimator for Matrix Multiplication
Yue Wu, Nick Polydorides
Inspired by the latest developments in multilevel Monte Carlo (MLMC) methods and randomised sketching for linear algebra problems we propose a MLMC estimator for real-time processi…
A row-sampling-based randomised finite element method for elliptic partial differential equations
Yue Wu, Dimitris Kamilis, Nick Polydorides
We consider a randomised implementation of the finite element method (FEM) for elliptic partial differential equations on high-dimensional models. This is motivated by applications…