lnu.sePublications

CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt182",{id:"formSmash:upper:j_idt182",widgetVar:"widget_formSmash_upper_j_idt182",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt191_j_idt197",{id:"formSmash:upper:j_idt191:j_idt197",widgetVar:"widget_formSmash_upper_j_idt191_j_idt197",target:"formSmash:upper:j_idt191:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Modified Schwarz–Christoffel mappings using approximate curve factorsPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
function selectAll()
{
var panelSome = $(PrimeFaces.escapeClientId("formSmash:some"));
var panelAll = $(PrimeFaces.escapeClientId("formSmash:all"));
panelAll.toggle();
toggleList(panelSome.get(0).childNodes, panelAll);
toggleList(panelAll.get(0).childNodes, panelAll);
}
/*Toggling the list of authorPanel nodes according to the toggling of the closeable second panel */
function toggleList(childList, panel)
{
var panelWasOpen = (panel.get(0).style.display == 'none');
// console.log('panel was open ' + panelWasOpen);
for (var c = 0; c < childList.length; c++) {
if (childList[c].classList.contains('authorPanel')) {
clickNode(panelWasOpen, childList[c]);
}
}
}
/*nodes have styleClass ui-corner-top if they are expanded and ui-corner-all if they are collapsed */
function clickNode(collapse, child)
{
if (collapse && child.classList.contains('ui-corner-top')) {
// console.log('collapse');
child.click();
}
if (!collapse && child.classList.contains('ui-corner-all')) {
// console.log('expand');
child.click();
}
}
2009 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 233, no 4, p. 1117-1127Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Elsevier , 2009. Vol. 233, no 4, p. 1117-1127
##### Keywords [en]

Conformal mapping, Schwarz–Christoffel mapping, Approximate curve factor
##### National Category

Computational Mathematics
##### Research subject

Natural Science, Mathematics
##### Identifiers

URN: urn:nbn:se:vxu:diva-5850DOI: 10.1016/j.cam.2009.09.006OAI: oai:DiVA.org:vxu-5850DiVA, id: diva2:236062
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt796",{id:"formSmash:j_idt796",widgetVar:"widget_formSmash_j_idt796",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt803",{id:"formSmash:j_idt803",widgetVar:"widget_formSmash_j_idt803",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt811",{id:"formSmash:j_idt811",widgetVar:"widget_formSmash_j_idt811",multiple:true}); Available from: 2009-09-21 Created: 2009-09-21 Last updated: 2017-12-13Bibliographically approved

The Schwarz–Christoffel mapping from the upper half-plane to a polygonal region in the complex plane is an integral of a product with several factors, where each factor corresponds to a certain vertex in the polygon. Different modifications of the Schwarz–Christoffel mapping in which factors are replaced with the so-called curve factors to achieve polygons with rounded corners are known since long times. Among other requisites, the arguments of a curve factor and its correspondent scl factor must be equal outside some closed interval on the real axis.

In this paper, the term approximate curve factor is defined such that many of the already known curve factors are included as special cases. Additionally, by alleviating the requisite on the argument from exact to asymptotic equality, new types of curve factors are introduced. While traditional curve factors have a *C*^{1} regularity, *C*^{∞} regular approximate curve factors can be constructed, resulting in smooth boundary curves when used in conformal mappings.

Applications include modelling of wave scattering in waveguides. When using approximate curve factors in modified Schwarz–Christoffel mappings, numerical conformal mappings can be constructed that preserve two important properties in the waveguides. First, the direction of the boundary curve can be well controlled, especially towards infinity, where the application requires two straight parallel walls. Second, a smooth (*C*^{∞}) boundary curve can be achieved.

doi
urn-nbn$(function(){PrimeFaces.cw("Tooltip","widget_formSmash_j_idt1981",{id:"formSmash:j_idt1981",widgetVar:"widget_formSmash_j_idt1981",showEffect:"fade",hideEffect:"fade",showDelay:500,hideDelay:300,target:"formSmash:altmetricDiv"});});

CiteExport$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt2034",{id:"formSmash:lower:j_idt2034",widgetVar:"widget_formSmash_lower_j_idt2034",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:exportLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt2035_j_idt2037",{id:"formSmash:lower:j_idt2035:j_idt2037",widgetVar:"widget_formSmash_lower_j_idt2035_j_idt2037",target:"formSmash:lower:j_idt2035:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});