A Least-Squares Finite Element Reduced Basis Method
نویسندگان
چکیده
We present a reduced basis method for parametrized linear elliptic partial differential equations (PDEs) in least-squares finite element framework. A rigorous and reliable error estimate is developed, shown to bound the with respect exact solution of PDE, contrast estimates that measure finite-dimensional (high-fidelity) approximation. It first-order formulation key ingredient. The demonstrated using numerical examples.
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2021
ISSN: ['1095-7197', '1064-8275']
DOI: https://doi.org/10.1137/20m1323552