A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions
نویسندگان
چکیده
منابع مشابه
A Triangular Spectral Element Method Using Fully Tensorial Rational Modal Basis Functions
In this paper, a triangular spectral element method using orthogonal rational functions as basis is presented for problems on complex domains.
متن کاملA Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions
A rational approximation in a triangle is proposed and analyzed in this paper. The rational basis functions in the triangle are obtained from the polynomials in the reference square through a collapsed coordinate transform. Optimal error estimates for the L2− and H1 0−orthogonal projections are derived with upper bounds expressed in the original coordinates in the triangle. It is shown that the...
متن کاملA Spectral Method on Tetrahedra Using Rational Basis Functions
A spectral method using fully tensorial rational basis functions on tetrahedron, obtained from the polynomials on the reference cube through a collapsed coordinate transform, is proposed and analyzed. Theoretical and numerical results show that the rational approximation is as accurate as the polynomial approximation, but with a more effective implementation.
متن کاملSolution of Harmonic Problems with Weak Singularities Using Equilibrated Basis Functions in Finite Element Method
In this paper, Equilibrated Singular Basis Functions (EqSBFs) are implemented in the framework of the Finite Element Method (FEM), which can approximately satisfy the harmonic PDE in homogeneous and heterogeneous media. EqSBFs are able to automatically reproduce the terms consistent with the singularity order in the vicinity of the singular point. The newly made bases are used as the compliment...
متن کاملOn characterizations of the fully rational fuzzy choice functions
In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzycongruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. Weexpress full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2009
ISSN: 0036-1429,1095-7170
DOI: 10.1137/070702023