activity
20162025
most citedBDDC and FETI-DP algorithms with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients

51 citations · 51 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2025

A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems

Jie Peng, Shi Shu, Junxian Wang +1

The solution of nonsymmetric but positive definite (NSPD) systems arising from advection-diffusion problems is an important research topic in science and engineering. Balancing dom…

math.NA2021

Two-level overlapping Schwarz methods based on local generalized eigenproblems for Hermitian variational problems

Qing Lu, Junxian Wang, Shi Shu +1

The research of two-level overlapping Schwarz (TL-OS) method based on constrained energy minimizing coarse space is still in its infancy, and there exist some defects, e.g. mainly…

math.NA2019

Adaptive-Multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems

Jie Peng, Shi Shu, Junxian Wang +1

In this paper, we are concerned with the weighted plane wave least-squares (PWLS) method for three-dimensional Helmholtz equations, and develop the multi-level adaptive BDDC algori…

math.NA2019

A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions

Junxian Wang, Eric Chung, Hyea Hyun Kim

A two-level overlapping Schwarz method is developed for second order elliptic problems with highly oscillatory and high contrast coefficients, for which it is known that the standa…

math.NA2018

Adaptive BDDC algorithms for the system arising from plane wave discretization of Helmholtz equations

Jie Peng, Junxian Wang, Shi Shu

Balancing domain decomposition by constraints (BDDC) algorithms with adaptive primal constraints are developed in a concise variational framework for the weighted plane wave least-…

math.NA2017

An adaptive BDDC algorithm in variational form for mortar discretizations

Jie Peng, Shi Shu, Junxian Wang

A balancing domain decomposition by constraints (BDDC) algorithm with adaptive primal constraints in variational form is introduced and analyzed for high-order mortar discretizatio…

math.NA2016★ 51 cited

BDDC and FETI-DP algorithms with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients

Hyea Hyun Kim, Eric Chung, Junxian Wang

BDDC and FETI-DP algorithms are developed for three-dimensional elliptic problems with adaptively enriched coarse components. It is known that these enriched components are necessa…