کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472088 698688 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A saddle point least squares approach to mixed methods
ترجمه فارسی عنوان
یک نقطه تقریبی نقطه تقریبی به روش های مخلوط
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی

We investigate new PDE discretization approaches for solving variational formulations with different types of trial and test spaces. The general mixed formulation we consider assumes a stability LBB condition and a data compatibility condition at the continuous level. We expand on the Bramble–Pasciak’s least square formulation for solving such problems by providing new ways to choose approximation spaces and new iterative processes to solve the discrete formulations. Our proposed method has the advantage that a discrete inf−supinf−sup condition is automatically satisfied by natural choices of test spaces (first) and corresponding trial spaces (second). In addition, for the proposed iterative solver, a nodal basis for the trial space is not required. Applications of the new approach include discretization of first order systems of PDEs, such as div−curldiv−curl systems and time-harmonic Maxwell equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 70, Issue 12, December 2015, Pages 2920–2932
نویسندگان
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