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math.NA2017
Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations
Bo Dong, Jiahua Jiang, Yanlai Chen
We develop and analyze the first hybridizable discontinuous Galerkin (HDG) method for solving fifth-order Korteweg-de Vries (KdV) type equations. We show that the semi-discrete sch…
math.NA2017★ 2 cited
A robust error estimator and a residual-free error indicator for reduced basis methods
Yanlai Chen, Jiahua Jiang, Akil Narayan
The Reduced Basis Method (RBM) is a rigorous model reduction approach for solving parametrized partial differential equations. It identifies a low-dimensional subspace for approxim…
math.NA2017★ 1 cited
Offline-Enhanced Reduced Basis Method through adaptive construction of the Surrogate Parameter Domain
Jiahua Jiang, Yanlai Chen, Akil Narayan
The Reduced Basis Method (RBM) is a popular certified model reduction approach for solving parametrized partial differential equations. One critical stage of the \textit{offline} p…