Alternative DRM formulations

Prediction and parametric analysis of thermal profiles within heated human skin using the boundary element method

“…Details on the functions in equations (3.12) and (3.13) are given by Wang et al (2003). Substituting equation (3.9) into (3.7) and letting (ξ i , η i ) in equations (3.6) and (3.7) be given by (ξ …”

“…(3.13) respectively. Details on the functions in equations (3.12) and (3.13) are given by Wang et al (2003).…”

A dual-reciprocity boundary element approach for axisymmetric nonlinear time-dependent heat conduction in a nonhomogeneous solid

“…If the function c at (r 0 (k) , z 0 (k) ) and (r 0 (17) and (19) which are also used in Ang and Ooi [4] do not guarantee the continuity of cðr,z,tÞ and q(r, z, t) from one element to the next. They give rise to what are known as discontinuous linear elements in the literature [15].…”

“…The points (r 0 (k) , z 0 (k) ) and (r 0 (N + k) , z 0 (N + k) ) on the element G ðkÞ (k ¼1,2,y,N), as defined in (16), are also used as collocation points. According to Wang et al [19], if one makes the approximation À Q ðr; z; tÞ ffiffiffiffiffiffiffiffiffiffiffiffi ffi gðr; zÞ p þ Bðr; zÞcþ Dðr; z; cÞ @ @t ½cðr; z; tÞ …”

“…the functions f ðpÞ and w ðpÞ may be constructed using f ðpÞ ðr; zÞ ¼ oðsðr; y; z; r ðpÞ 0 ; z ðpÞ 0 ÞÞ ¼ nðsðr; y; z; r ðpÞ In Wang et al[19], the functions nðsðr,y,z; r ðpÞ…”