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Recent advances and emerging applications of the boundary element method
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …
method (BEM) was held on the campus of the University of Akron during September 1–3 …
Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity
The collocation boundary element method, as developed and taught in the traditional books,
suffers from severe inconsistencies, partly responsible for the method's lack of clarity and …
suffers from severe inconsistencies, partly responsible for the method's lack of clarity and …
The consistent boundary element method for potential and elasticity: Part I—Formulation and convergence theorem
The collocation boundary element method is outlined for the general three-dimensional,
static case of elasticity on the basis of a weighted-residuals statement that leads to the …
static case of elasticity on the basis of a weighted-residuals statement that leads to the …
The boundary element method revisited
The collocation boundary element method is derived on the basis of the weighted-residuals
statement. Only the static case is addressed, as it already involves all relevant conceptual …
statement. Only the static case is addressed, as it already involves all relevant conceptual …
On the solution of generalized non‐linear complex‐symmetric eigenvalue problems
This paper brings an attempt toward the systematic solution of the generalized non‐linear,
complex‐symmetric eigenproblem (K0− iωC1− ω2M1− iω3C2− ω4M2−···) ϕ= 0, with real …
complex‐symmetric eigenproblem (K0− iωC1− ω2M1− iω3C2− ω4M2−···) ϕ= 0, with real …
[PDF][PDF] General time-dependent analysis with the frequency-domain hybrid boundary element method
The paper presents an attempt to consolidate a formulation for the general analysis of the
dynamic response of elastic systems. Based on the mode-superposition method, a set of …
dynamic response of elastic systems. Based on the mode-superposition method, a set of …
The best of two worlds: The expedite boundary element method
The present developments result from the combination of the variationally-based, hybrid
boundary element method and a consistent formulation of the conventional, collocation …
boundary element method and a consistent formulation of the conventional, collocation …
A variational boundary element formulation for shear-deformable plate bending problems
This paper presents the derivation of a new boundary element formulation for plate bending
problems. The Reissner's plate bending theory is employed. Unlike the conventional direct …
problems. The Reissner's plate bending theory is employed. Unlike the conventional direct …
The hybrid boundary element method applied to problems of potential theory in nonhomogeneous materials
Since the introduction of the hybrid boundary element method in 1987, it has been applied
to various problems of elasticity and potential theory, including time-dependent problems …
to various problems of elasticity and potential theory, including time-dependent problems …
Linear algebra issues in a family of advanced hybrid finite elements
The hybrid finite element method, proposed more than 40 years ago on the basis of the
Hellinger-Reissner potential, was a conceptual breakthrough among the discretization …
Hellinger-Reissner potential, was a conceptual breakthrough among the discretization …